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The stats will dictate the flavour text and scenarios you can unlock. So, because you hard focused tactician people will acknowledge you for your use of tactics and gadgets. You have some skill with combat, everyone does in the military to a degree, but people will plan around and account for your highest skill.

You will be able to enter into combat scenarios but the outcome will change drastically if you have a low level in it.  So to answer your question, you are considered average at combat and you aren't locked out of most situations, just a likely more hilarious outcome will happen if you use your lowest skill to check.

No, in fact, you will rise to power faster than anyone else in your family. The Soulforge are treated almost reverently and concessions are always made for them. If you accomplish a lot and asked for a post on a ship and expressed your desire to become an admiral the military would be ecstatic.